Entropy sources crypto
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Their word for randomness is "entropy. But if we can find a good source of entropy and convert it into something that computers can use, we should have enough randomness to do all things that we want to do with cryptographic key generation. The good thing about this is that there are, in fact, lots of natural sources of entropy.
Airflow is often random enough around computers that temperature variances can be measured that will provide good enough entropy. Human interactions with peripherals, such as mouse movements or keyboard strokes, can provide more entropy. In the past, variances between network packets' receipt times were used, but there's been some concern that these are actually less random than previously thought and may be measurable by outside parties.
Let's assume, though, that we have a good source of entropy. Or let's assume that we've got several pretty good sources of entropy, and that we believe that when we combine them, they'll be good enough as a group. This is what computers—and operating systems—generally do.
They gather data from various entropy sources, then convert it to a stream of bits—your computer's favourite language of 1s and 0s—that can then be used to provide random numbers. The problem arises when they don't do it well enough. This can occur for a variety of reasons, the main two being bad sampling and bad combination.
Even if your sources of entropy are good, if you don't sample them in an appropriate manner, what you get won't reflect the "goodness" of that entropy source; that's a sampling problem. You can think of entropy as unpredictability.
The greater the quality of random number generation RNG , the greater the quality of random keys produced, and thus the higher the security value of the key. Here are some common sources: Human input such as mouse movements, keyboard stroke timings, video game controllers, etc. Timing of storage device interrupts, e. Timing of network packets. Audio and video data noise. Fan noise. Internal clock drift.
This random input and output IO is converted into usable data, collected, and stored by the operating system for later use. After a random number is used it can never be used again as duplicates would be easier to crack , so a fresh random number must be generated.
And this requires more entropy. If the pool of random data becomes fully empty, it can cause long wait times when an app or process requests random data for encryption purposes. More entropy must be generated and collected before the request can be fulfilled.
The number of these devices now outnumbers the amount of people on the planet, and will continue to grow into the hundreds of billions over the coming years. The old assumption that you could always leverage a user as an easily-accessible and high-quality source of entropy in a digital system no longer holds.
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A deterministic model will thus always produce the same output from a given starting condition or initial state In order to coax a machine into doing something random, we actually have to introduce a source of seemingly random input from outside the machine. Typically operating systems are primarily responsible for supplying sources of entropy to programs.
An example - How does the Linux kernel produce randomness for applications? Because Linux is conveniently open-source, I can provide you a link to random. In a Unix environment, this is best done from inside the kernel. Sources of randomness from the environment include inter-keyboard timings, inter-interrupt timings from some interrupts, and other events which are both a non-deterministic and b hard for an outside observer to measure.
Since these events could happen at any time, and it would be hard to predict when they will happen in advance. To sum up, random data is added to an entropy pool constantly. When a user desires randomness, a hash is taken of the entropy pool and the result is supplied to the user. When we call any secure randomness function on a Linux machine, we are likely using this driver or one very similar to it.
This is what computers—and operating systems—generally do. They gather data from various entropy sources, then convert it to a stream of bits—your computer's favourite language of 1s and 0s—that can then be used to provide random numbers. The problem arises when they don't do it well enough. This can occur for a variety of reasons, the main two being bad sampling and bad combination. Even if your sources of entropy are good, if you don't sample them in an appropriate manner, what you get won't reflect the "goodness" of that entropy source; that's a sampling problem.
This is bad enough, but the combination algorithms are supposed to smooth out this sort of issue, assuming it's not too bad and you have enough sources of entropy. However, when you have an algorithm that isn't doing that, or isn't combining even well-sampled, good sources, you have a real issue. And algorithms, we know, are not always correctly implemented.
There have even been allegations that some government security services have introduced weakened algorithms—with weaknesses that only they know about and can exploit—into systems around the world. There have been some very high-profile examples of poor implementation, in both the proprietary and open source worlds, which have led to real problems in actual deployments.
At least when you have an open source implementation, you have the chance to fix it. That problem is compounded when—as is often the case—these algorithms are embedded in hardware such as a chip on a motherboard. In this case, it's very difficult to fix, as you generally can't just replace all the affected chips, and may also be difficult to trace.
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